18) In baseball, basketball, tennis, and various other sports, the winner of a tournament is determined...
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18) In baseball, basketball, tennis, and various other sports, the winner of a tournament is determined by a best of five or best of seven rule; that is, whichever team can win three or, respectively, four games first is the winner of the series. Such tournaments are presumed to be more fair than a single elimination game in determining the better team, since the outcome of any single game has a large element of chance. Suppose that two teams, A and B, are involved in a best of five tournament and that team A is slightly favored. In particular, the probability that team A will win in any single game against the other is 0.52. Before any games are played, one would "expect" A to win the series. However, during the series if B should happen to be ahead of A in wins, it might have the advantage. This problem is about the relative advantage of being the better team as opposed to being ahead in games. Formulate a terminating Markov chain to describe the tournament. 18) In baseball, basketball, tennis, and various other sports, the winner of a tournament is determined by a best of five or best of seven rule; that is, whichever team can win three or, respectively, four games first is the winner of the series. Such tournaments are presumed to be more fair than a single elimination game in determining the better team, since the outcome of any single game has a large element of chance. Suppose that two teams, A and B, are involved in a best of five tournament and that team A is slightly favored. In particular, the probability that team A will win in any single game against the other is 0.52. Before any games are played, one would "expect" A to win the series. However, during the series if B should happen to be ahead of A in wins, it might have the advantage. This problem is about the relative advantage of being the better team as opposed to being ahead in games. Formulate a terminating Markov chain to describe the tournament.
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Related Book For
Understanding Basic Statistics
ISBN: 9781111827021
6th Edition
Authors: Charles Henry Brase, Corrinne Pellillo Brase
Posted Date:
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